Write the expression as a single logarithm.

log340 – log310

Show Work

Question

Write the expression as a single logarithm.

log340 – log310
 
Show Work

kropot72 · Answer

$$\log_{} a-\log_{} b=\log_{} \frac{a}{b}$$

goten77 · Answer

the only thing i dont like is how it says "show work" when there is basically very very little work to show.. besides the reducing....

anonymous · Answer

I am pretty new to this, would you please do a step by step?

kropot72 · Answer

One of the basic rules of logarithms is:
$$\log_{} a-\log_{} b =\log_{} \frac{a}{b}$$
Let a = 340 and let b = 310.
Now substitute the values of a and b into the basic rule.

anonymous · Answer

So basically I end up with log340/310? And then reduced to log34/31?

kropot72 · Answer

@giggitygun You are correct :)

anonymous · Answer

Oh didn't realize it was that easy, thanks!

kropot72 · Answer

You're welcome :)